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Finding the Fourth Proportional to 9,775.66, 14,663.52 and 4,585.18

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Solution

The fourth proportional to 9,775.66, 14,663.52 and 4,585.18 is: 6,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.66 : 14,663.52 = 4,585.18 : x
  2. Step 2: Convert to fraction form
    9,775.66/14,663.52 = 4,585.18/x
  3. Step 3: Cross multiply
    9,775.66x = 14,663.52 × 4,585.18
  4. Step 4: Simplify right side
    9,775.66x = 67,234,878.63
  5. Step 5: Solve for x
    x = 67,234,878.63/9,775.66
  6. Step 6: Final answer
    x = 6,877.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.